Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore,
= 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore,
= 14 x t
In order to find the time when they are 78 kilometers apart, we will add
and
, because they are travelling in opposite direction creating distance between them.
So,
+
= 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart
Answer:
B. $136,960.54
Step-by-step explanation:
Rate = r = 4%
Times = b = 4
Future Value = A = $315,930
No. pf Years = n = 21
Present Value = P = ?
A = P [1 + (r / b)]ⁿᵇ
$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴
$315,930 = P [1 + 0.01]⁸⁴
$315,930 = P [1.01]⁸⁴
$315,930 = P x 2.306723
P = $315,930 / 2.306723
P = $136,960.54
The correct answer is 0.1. C and D can automatically be eliminated because Emily is a good student who is likely to attend school. This leaves A and C, but A can be eliminated because there is still a possibility Emily will miss class.
Answer:
56 quizzes
Step-by-step explanation:
40 quizzes = 5 weeks
To find the unit rate of quizzes / week, we can divide both sides by 5
40/5 quizzes = 5/5 weeks
8 quizzes = 1 week
Multiply both sides by 7 to find the amount of quizzes in 7 weeks
8 * 7 quizzes = 1 * 7 weeks
56 quizzes = 7 weeks